Theorem sltaddpos2d

Description: Addition of a positive number increases the sum. (Contributed by Scott Fenton, 15-Apr-2025)

	Ref	Expression
Hypotheses	sltaddpos.1	$$⊢\phi \to A\in \mathrm{No}$$
	sltaddpos.2	$$⊢\phi \to B\in \mathrm{No}$$
Assertion	sltaddpos2d	Could not format assertion : No typesetting found for |- ( ph -> ( 0s B

Proof

Step	Hyp	Ref	Expression
1		sltaddpos.1	$$⊢\phi \to A\in \mathrm{No}$$
2		sltaddpos.2	$$⊢\phi \to B\in \mathrm{No}$$
3		0sno	Could not format 0s e. No : No typesetting found for |- 0s e. No with typecode |-
4	3	a1i	Could not format ( ph -> 0s e. No ) : No typesetting found for |- ( ph -> 0s e. No ) with typecode |-
5	4 1 2	sltadd1d	Could not format ( ph -> ( 0s ( 0s +s B ) ( 0s ( 0s +s B )
6		addslid	Could not format ( B e. No -> ( 0s +s B ) = B ) : No typesetting found for |- ( B e. No -> ( 0s +s B ) = B ) with typecode |-
7	2 6	syl	Could not format ( ph -> ( 0s +s B ) = B ) : No typesetting found for |- ( ph -> ( 0s +s B ) = B ) with typecode |-
8	7	breq1d	Could not format ( ph -> ( ( 0s +s B ) B ( ( 0s +s B ) B
9	5 8	bitrd	Could not format ( ph -> ( 0s B ( 0s B